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Edge length of anticube given surface-to-volume ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*surface to volume ratio)
s = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*r)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
surface to volume ratio - surface to volume ratio is fraction of surface to volume. (Measured in Hundred)
STEP 1: Convert Input(s) to Base Unit
surface to volume ratio: 0.5 Hundred --> 0.5 Hundred No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*r) --> (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*0.5)
Evaluating ... ...
s = 11.4192303424098
STEP 3: Convert Result to Output's Unit
11.4192303424098 Meter --> No Conversion Required
FINAL ANSWER
11.4192303424098 Meter <-- Side
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

volume of Rhombic Dodecahedron given Surface-to-volume ratio
volume = (16/9)*sqrt(3)*((9*sqrt(2))/(2*sqrt(3)*surface to volume ratio))^3 Go
Volume of triakis tetrahedron given surface-volume-ratio
volume = (3/20)*sqrt(2)*((4*sqrt(11))/(surface to volume ratio*sqrt(2)))^3 Go
side given Surface-to-volume ratio (A/V) of Rhombic Triacontahedron
side = (3*sqrt(5))/(surface to volume ratio*(sqrt(5+(2*sqrt(5))))) Go
height of triakis tetrahedron given surface-volime-ratio
height = (3/5)*(sqrt(6))*(4/surface to volume ratio)*(sqrt(11/2)) Go
edge length of Rhombic Dodecahedron given Surface-to-volume ratio
side_a = (9*sqrt(2))/(2*sqrt(3)*surface to volume ratio) Go
edge length of tetrahedron(a) of triakis tetrahedron given Surface-to-volume ratio (A/V)
side_a = (4*sqrt(11))/(surface to volume ratio*sqrt(2)) Go
Area of triakis tetrahedron given surface-volume-ratio
area = (3/5)*(sqrt(11/2))*(4/surface to volume ratio)^2 Go
Area of Rhombic Dodecahedron given Surface-to-volume ratio
area = (108*sqrt(2))/((surface to volume ratio)^2) Go
Midsphere radius of Rhombic Dodecahedron given Surface-to-volume ratio
radius = (6/sqrt(3))*(1/surface to volume ratio) Go
Midsphere radius of triakis tetrahedron given surface-volume-ratio
radius = sqrt(11)/surface to volume ratio Go
Insphere radius of triakis tetrahedron given surface-volume-ratio
radius = 3/surface to volume ratio Go

11 Other formulas that calculate the same Output

Side of a regular polygon when area is given
side = sqrt(4*Area of regular polygon*tan((180*pi/180)/Number of sides))/sqrt(Number of sides) Go
Side of a parallelogram when diagonal and the angle between diagonals are given
side = sqrt((Diagonal 1)^2+(Diagonal 2)^2-(2*Diagonal 1*Diagonal 2*Angle Between Two Diagonals))/2 Go
Side of a parallelogram when diagonal and the angle between diagonals are given
side = sqrt((Diagonal A)^2+(Diagonal B)^2+(2*Diagonal A*Diagonal B*Angle Between Two Diagonals))/2 Go
Side of a rhombus when diagonal and angle are given
side = Diagonal/sqrt(2+2*cos(Half angle between sides)) Go
Side of a rhombus when diagonal and half-angle are given
side = Diagonal/(2*cos(Angle Between Sides)) Go
Side of a Rhombus when diagonals are given
side = sqrt(Diagonal 1^2+Diagonal 2^2)/2 Go
Side length of a Right square pyramid when volume and height are given
side = sqrt((3*Volume)/Height) Go
Side of a regular polygon when perimeter is given
side = Perimeter of Regular Polygon/Number of sides Go
Side of a rhombus when area and inradius are given
side = Area/(2*Inradius) Go
Side of a rhombus when perimeter is given
side = Perimeter/4 Go
Side of Largest Cube that can be inscribed within a right circular cylinder of height h
side = Height Go

Edge length of anticube given surface-to-volume ratio Formula

side = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*surface to volume ratio)
s = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*r)

What is an Anticube?

In geometry, the square antiprism is the second in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps. It is also known as an anticube. If all its faces are regular, it is a semiregular polyhedron. When eight points are distributed on the surface of a sphere with the aim of maximising the distance between them in some sense, then the resulting shape corresponds to a square anti-prism rather than a cube. Different examples include maximising the distance to the nearest point, or using electrons to maximise the sum of all reciprocals of squares of distances.

How to Calculate Edge length of anticube given surface-to-volume ratio?

Edge length of anticube given surface-to-volume ratio calculator uses side = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*surface to volume ratio) to calculate the Side, The Edge length of anticube given surface-to-volume ratio formula is defined as a straight line joining two adjacent vertices of anticube. Where, a = anticube edge. Side and is denoted by s symbol.

How to calculate Edge length of anticube given surface-to-volume ratio using this online calculator? To use this online calculator for Edge length of anticube given surface-to-volume ratio, enter surface to volume ratio (r) and hit the calculate button. Here is how the Edge length of anticube given surface-to-volume ratio calculation can be explained with given input values -> 11.41923 = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*0.5).

FAQ

What is Edge length of anticube given surface-to-volume ratio?
The Edge length of anticube given surface-to-volume ratio formula is defined as a straight line joining two adjacent vertices of anticube. Where, a = anticube edge and is represented as s = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*r) or side = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*surface to volume ratio). surface to volume ratio is fraction of surface to volume.
How to calculate Edge length of anticube given surface-to-volume ratio?
The Edge length of anticube given surface-to-volume ratio formula is defined as a straight line joining two adjacent vertices of anticube. Where, a = anticube edge is calculated using side = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*surface to volume ratio). To calculate Edge length of anticube given surface-to-volume ratio, you need surface to volume ratio (r). With our tool, you need to enter the respective value for surface to volume ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Side?
In this formula, Side uses surface to volume ratio. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • side = Height
  • side = Area/(2*Inradius)
  • side = sqrt(Diagonal 1^2+Diagonal 2^2)/2
  • side = Perimeter/4
  • side = Diagonal/sqrt(2+2*cos(Half angle between sides))
  • side = Diagonal/(2*cos(Angle Between Sides))
  • side = sqrt((Diagonal 1)^2+(Diagonal 2)^2-(2*Diagonal 1*Diagonal 2*Angle Between Two Diagonals))/2
  • side = sqrt((Diagonal A)^2+(Diagonal B)^2+(2*Diagonal A*Diagonal B*Angle Between Two Diagonals))/2
  • side = Perimeter of Regular Polygon/Number of sides
  • side = sqrt(4*Area of regular polygon*tan((180*pi/180)/Number of sides))/sqrt(Number of sides)
  • side = sqrt((3*Volume)/Height)
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